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Finding the Fourth Proportional to 242,598.78, 363,356.55 and 186,022.17

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Solution

The fourth proportional to 242,598.78, 363,356.55 and 186,022.17 is: 278,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,598.78 : 363,356.55 = 186,022.17 : x
  2. Step 2: Convert to fraction form
    242,598.78/363,356.55 = 186,022.17/x
  3. Step 3: Cross multiply
    242,598.78x = 363,356.55 × 186,022.17
  4. Step 4: Simplify right side
    242,598.78x = 67,592,373,914.71
  5. Step 5: Solve for x
    x = 67,592,373,914.71/242,598.78
  6. Step 6: Final answer
    x = 278,617.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.